Search a number
-
+
1307125530 = 2325591991237
BaseRepresentation
bin100110111101001…
…0010011100011010
310101002120212010200
41031322102130122
510134111004110
6333412123030
744251245414
oct11572223432
93332525120
101307125530
11610924837
12305906476
1317aa61379
14c58579b4
1579b4b6c0
hex4de9271a

1307125530 has 96 divisors (see below), whose sum is σ = 3476304000. Its totient is φ = 340661376.

The previous prime is 1307125511. The next prime is 1307125531. The reversal of 1307125530 is 355217031.

1307125530 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 125 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1307125494 and 1307125503.

It is not an unprimeable number, because it can be changed into a prime (1307125531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056072 + ... + 1057308.

It is an arithmetic number, because the mean of its divisors is an integer number (36211500).

Almost surely, 21307125530 is an apocalyptic number.

1307125530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307125530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738152000).

1307125530 is an abundant number, since it is smaller than the sum of its proper divisors (2169178470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1307125530 is a wasteful number, since it uses less digits than its factorization.

1307125530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1307125530 is about 36154.1910433631. The cubic root of 1307125530 is about 1093.3832900491.

The spelling of 1307125530 in words is "one billion, three hundred seven million, one hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 199 295 354 398 531 590 597 885 995 1062 1194 1237 1770 1791 1990 2474 2655 2985 3582 3711 5310 5970 6185 7422 8955 11133 11741 12370 17910 18555 22266 23482 35223 37110 55665 58705 70446 72983 105669 111330 117410 145966 176115 211338 218949 246163 352230 364915 437898 492326 528345 656847 729830 738489 1056690 1094745 1230815 1313694 1476978 2189490 2215467 2461630 3284235 3692445 4430934 6568470 7384890 11077335 14523617 22154670 29047234 43570851 72618085 87141702 130712553 145236170 217854255 261425106 435708510 653562765 1307125530